Offsetting inventory cycles of items sharing storage. (English) Zbl 1137.90320
Summary: The ability to determine the optimal frequencies and offsets for independent and unrestricted ordering cycles for multiple items can be very valuable for managing storage capacity constrained facilities in a supply chain. The complexity of this problem has resulted in researchers focusing on more tractable surrogate problems that are special cases of the base problem. This research has focused on developing fundamental properties of the original problem. We exploit the problem structure and present a heuristic for offsetting independent and unrestricted ordering cycles for items to minimize their joint storage requirements. Heuristics of this type may prove useful in solving the more general problem of selecting order quantities to minimize combined holding, ordering, and storage costs.
MSC:
| 90B05 | Inventory, storage, reservoirs |
References:
| [1] | Benton, W. C., Quantity discount decisions under conditions of multiple items, multiple suppliers and resource limitations, International Journal of Production Research, 29, 1953-1961 (1991) · Zbl 0729.90570 |
| [2] | Goyal, S. K., Determination of economic packaging frequency for items jointly replenished, Management Science, 20, 232-235 (1973) · Zbl 0304.90037 |
| [3] | Goyal, S. K., Optimal ordering policy for a multi-item single supplier system, Operational Research Quarterly, 25, 293-298 (1974) · Zbl 0278.90019 |
| [4] | Goyal, S. K., A note on ‘multi-product inventory situations with one restriction’, Journal of the Operational Research Society, 29, 269-271 (1978) · Zbl 0388.90024 |
| [5] | Goyal, S. K.; Belton, A. S., On a simple method of determining order quantities in joint replenishment for deterministic demand, Management Science, 25, 604 (1979) |
| [6] | Hadley, J.; Whitin, T. M., Analysis of Inventory Systems (1963), Prentice Hall: Prentice Hall Englewood Cliffs, NJ · Zbl 0133.42901 |
| [7] | Hall, N. G., A multi-item EOQ model with inventory cycle balancing, Naval Research Logistics Quarterly, 35, 319-325 (1988) · Zbl 0666.90025 |
| [8] | Holt, C. C., Decision rules for allocating inventory to lots and cost functions for making aggregate inventory decisions, Journal of Industrial Engineering, 9, 14 (1958) |
| [9] | Homer, E. D., Space limited aggregate inventory with phased deliveries, Journal of Industrial Engineering, 17, 327 (1966) |
| [10] | Johnson, L. A.; Montgomery, D. C., Operations Research in Production Planning, Scheduling and Inventory Control (1974), John Wiley: John Wiley New York |
| [11] | Kaspi, M.; Rosenblatt, M. J., An improvement of silver’s algorithm for the joint replenishment problem, IIE Transactions, 15, 264-267 (1983) |
| [12] | Krone, L. H., A note on economic lot sizes for multi-purpose equipment, Management Science, 10, 461 (1964) |
| [13] | Maxwell, W. L., The scheduling of economic lot sizes, Naval Research Logistics Quarterly, 11, 89-124 (1964) |
| [14] | Page, E.; Paul, R. J., Multi-product inventory situations with one restriction, Operational Research Quarterly, 27, 815-834 (1976) · Zbl 0341.90023 |
| [15] | Park, K. S.; Yun, D. K., Optimal scheduling of periodic activities, Operations Research, 33, 690-695 (1985) · Zbl 0567.90053 |
| [16] | Parsons, J. A., Multi-product lot size determination when certain restrictions are active, Journal of Industrial Engineering, 17, 360-365 (1966) |
| [17] | Pirkul, H.; Aras, O. A., Capacitated multiple item ordering problem with quantity discounts, IIE Transactions, 17, 206-211 (1985) |
| [18] | Rosenblatt, M. J., Multi-item inventory system with budgetary constraints: a comparison between the lagrangian and the fixed cycle approach, International Journal of Production Research, 19, 331-339 (1981) |
| [19] | Rosenblatt, M. J.; Rothblum, U. G., On the single resource capacity problem for multi-item inventory systems, Operations Research, 38, 686-693 (1990) · Zbl 0716.90029 |
| [20] | Roundy, R., 98 · Zbl 0593.90020 |
| [21] | Rubin, P. A.; Benton, W. C., Jointly constrained order quantities with all unit discounts, Naval Research Logistics, 40, 255-278 (1993) · Zbl 0802.90036 |
| [22] | Silver, E. A., A simple method of determining order quantities in joint replenishment under deterministic demand, Management Science, 22, 1351-1361 (1976) · Zbl 0337.90021 |
| [23] | Thomas, L. C.; Hartley, R., An algorithm for limited capacity inventory problems with staggering, Journal of Operational Research Society, 34, 81-85 (1983) · Zbl 0503.90037 |
| [24] | Zoller, K., Deterministic multi-item inventory systems with limited capacity, Management Science, 24, 451-455 (1977) · Zbl 0375.90026 |
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